K12a1122
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Polynomial invariants
| Jones polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle -q^7+4 q^6-11 q^5+22 q^4-33 q^3+42 q^2-46 q+44-36 q^{-1} +26 q^{-2} -14 q^{-3} +5 q^{-4} - q^{-5} } |
| Alexander polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle t^4-8 t^3+30 t^2-63 t+81-63 t^{-1} +30 t^{-2} -8 t^{-3} + t^{-4} } |
| Conway polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^8+2 z^4+z^2+1} |
| Determinant | 285 |
| Signature | 0 |
| HOMFLY-PT polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle z^8-a^2 z^6-3 z^6 a^{-2} +4 z^6-2 a^2 z^4-8 z^4 a^{-2} +3 z^4 a^{-4} +9 z^4-3 a^2 z^2-9 z^2 a^{-2} +5 z^2 a^{-4} -z^2 a^{-6} +9 z^2-a^2-4 a^{-2} +3 a^{-4} - a^{-6} +4} |
| Kauffman polynomial | Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle 4 z^{11} a^{-1} +4 z^{11} a^{-3} +25 z^{10} a^{-2} +9 z^{10} a^{-4} +16 z^{10}+27 a z^9+38 z^9 a^{-1} +19 z^9 a^{-3} +8 z^9 a^{-5} +25 a^2 z^8-38 z^8 a^{-2} -12 z^8 a^{-4} +4 z^8 a^{-6} +3 z^8+14 a^3 z^7-40 a z^7-102 z^7 a^{-1} -68 z^7 a^{-3} -19 z^7 a^{-5} +z^7 a^{-7} +5 a^4 z^6-37 a^2 z^6-15 z^6 a^{-2} -10 z^6 a^{-4} -11 z^6 a^{-6} -58 z^6+a^5 z^5-12 a^3 z^5+15 a z^5+72 z^5 a^{-1} +62 z^5 a^{-3} +15 z^5 a^{-5} -3 z^5 a^{-7} -a^4 z^4+23 a^2 z^4+39 z^4 a^{-2} +23 z^4 a^{-4} +11 z^4 a^{-6} +51 z^4+5 a^3 z^3-19 z^3 a^{-1} -21 z^3 a^{-3} -4 z^3 a^{-5} +3 z^3 a^{-7} -8 a^2 z^2-20 z^2 a^{-2} -13 z^2 a^{-4} -5 z^2 a^{-6} -20 z^2-a^3 z-a z+2 z a^{-1} +3 z a^{-3} -z a^{-7} +a^2+4 a^{-2} +3 a^{-4} + a^{-6} +4} |
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